GCF of 1350/252, 5575/4731
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1350/252, 5575/4731 i.e 25/397404 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1350/252, 5575/4731.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
What is the GCF of 1350/252,5575/4731?
Given fractions are 1350/252,5575/4731
To find the GCF of fractions, we have to find the GCF of numerator numbers and LCM of denominator numbers. Its formula is given by
GCF of Fraction = Greatest Common Factor of Numerator/Least Common Multiple of Denominators
In the fractions 1350/252,5575/4731, numerators are 1350,5575
Denominators are 252,4731
The GCF of 1350,5575 is 25 .
LCM of 252,4731 is 397404.
The greatest common factor of 1350/252,5575/4731 = [GCF of 1350,5575]/[LCM of 252,4731]= 25/397404
Therefore, the GCF of 1350/252,5575/4731 is 25/397404.
To find the highest common factor of 1350,5575, we have to find the factors of both numbers and list the highest common factor.
The factors of 1350 are 1, 2, 3, 5, 6, 9, 10, 15, 18, 25, 27, 30, 45, 50, 54, 75, 90, 135, 150, 225, 270, 450, 675, 1350
The factors of 5575 are 1, 5, 25, 223, 1115, 5575
The HCF of 1350,5575 is 25.
Lets's calculate GCF of 1350,5575
| 5 | 1350, 5575 |
| 5 | 270, 1115 |
| 54, 223 |
∴ So the GCF of the given numbers is 5 x 5 = 25
Greatest Common Factor of 1350,5575 By Matching Biggest Common Factor Method
Now, list down the factors of 1350
:1,2,3,5,6,9,10,15,18,25,27,30,45,50,54,75,90,135,150,225,270,450,675,1350
Now, list down the factors of 5575
:1,5,25,223,1115,5575
Greatest Common Factor
We found the factors 1350,5575 . The biggest common factor number is the GCF number.
So the greatest common factor 1350,5575 is 25.
Lets's calculate LCM of 252,4731
| 3 | 252, 4731 |
| 84, 1577 |
∴ So the LCM of the given numbers is 3 x 84 x 1577 = 397404
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 25/397404
Therefore, the GCF of Fractions 1350/252,5575/4731 is 25/397404
Least Common Multiple of 252,4731 with GCF Formula
The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).
We need to calculate greatest common factor of 252,4731 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(252,4731) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(252,4731) x common factors =3 x 1 = 3
LCM(252,4731) = ( 252 × 4731 ) / 3
LCM(252,4731) = 1192212 / 3
LCM(252,4731) = 397404
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FAQs on GCF of Fractions of 1350/252, 5575/4731
1. What is the HCF of 1350,5575?
The HCF of 1350,5575 is 25
2. What is the GCF of a fraction?
The GCF of a fraction is defined as the greatest fraction that divides exactly into 2 or more fractions.
3. How to find GCF in Fractions?
Answer: GCF of fractions can be found using the simple formula GCF of Fractions = GCF of Numerators/LCM of Denominators.
4. What is the GCF of Fractions for 1350/252, 5575/4731?
Answer: GCF of Numerators as per given numbers 1350/252, 5575/4731 is
GCF of Numerators i.e. for 1350,5575 is 25
LCM of denominators i.e. for 252,4731 is 397404.
Thus, GCF of Fractions is 25/397404.Finally, GCF of Fractions for 1350/252, 5575/4731 is 25/397404.